4 citations · 4 across the 7 of their papers we have counts for
7 papers
The Path Integral Monte Carlo Sign Problem Is Not Always NP-Hard: Harmonic Fermions Can Be Solved in Quadratic Time
Aarif Chaudhary, Jonas Valenzuela, Siu A. Chin
In the Path Integral Monte Carlo (PIMC) simulation of fermions in a harmonic trap, with and without pairwise harmonic interactions, the partition functions for any discrete number…
Parafermions in plain sight
Siu A. Chin, A. Chaudhary
We show that for any potential with a discrete energy spectrum, the well-known interpolation between ideal boson and fermion partition functions at discrete values of yiel…
Understanding the sign problem from an exact Path Integral Monte Carlo model of interacting harmonic fermions
Siu A. Chin
This work shows that the recently discovered operator contraction identity for solving the discreet Path Integral of the harmonic oscillator can be applied equally to fermions in a…
Simple proof that there is no sign problem in Path Integral Monte Carlo simulations of fermions in one dimension
Siu A. Chin
It is widely known that there is no sign problem in Path Integral Monte Carlo (PIMC) simulations of fermions in one dimension. Yet, as far as the author is aware, there is no direc…
Analytical evaluations of the Path Integral Monte Carlo thermodynamic and Hamiltonian energies for the harmonic oscillator
Siu A. Chin
By use of the recently derived discrete imaginary-time propagator of the harmonic oscillator, both thermodynamic and Hamiltonian energies can be given analytically, and…
A thousand fermions in a 3D harmonic trap via Monte Carlo simulations
Siu A. Chin
By use of a special wave function derived from similarly transformed propagators, this work shows that the energy of a thousand spin-balanced fermions in a three-dimensional harmon…